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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Bessel-Related Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
HankelH1
BesselJ
BesselY
SphericalHankelH2
See Also »
|
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
New in 6.0: Mathematical Functions
More About »
HankelH2
HankelH2
[
n
,
z
]
gives the Hankel function of the second kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
is given by
.
HankelH1
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
For certain special arguments,
HankelH2
automatically evaluates to exact values.
HankelH2
can be evaluated to arbitrary numerical precision.
HankelH2
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot the absolute value of
for various orders:
In[1]:=
Out[1]=
Series at the origin:
In[1]:=
Out[1]=
Series at infinity:
In[2]:=
Out[2]=
Scope
(6)
Generalizations & Extensions
(1)
Properties & Relations
(2)
Possible Issues
(1)
SEE ALSO
HankelH1
BesselJ
BesselY
SphericalHankelH2
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
New in 6.0: Mathematical Functions
New in 6
© 2013 Wolfram Research, Inc.
. 
is given by 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 